39222273024000 has 1344 divisors, whose sum is σ = 154790002149120. Its totient is φ = 9475522560000.

The previous prime is 39222273023963. The next prime is 39222273024001. The reversal of 39222273024000 is 42037222293.

39222273024000 is a `hidden beast` number, since 3 + 9 + 22 + 227 + 3 + 0 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39222273024001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42679295541 + ... + 42679296459.

Almost surely, 2^{39222273024000} is an apocalyptic number.

39222273024000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39222273024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77395001074560).

39222273024000 is an abundant number, since it is smaller than the sum of its proper divisors (115567729125120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39222273024000 is a wasteful number, since it uses less digits than its factorization.

39222273024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 39222273024000 in words is "thirty-nine trillion, two hundred twenty-two billion, two hundred seventy-three million, twenty-four thousand".